Perturbation of a solitary wave of the nonlinear Klein-Gordon equation.
Reduction of infinite dimensional equations.
Self-consistent-field method and -functional method on group manifold in soliton theory: a review and new results.
Solitary waves in massive nonlinear -sigma models.
Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation.
Soliton and periodic wave solutions to the osmosis equation.
Soliton scattering by delta impurities
Solitons and large time behavior of solutions of a multidimensional integrable equation
Novikov-Veselov equation is a (2+1)-dimensional analog of the classic Korteweg-de Vries equation integrable via the inverse scattering translform for the 2-dimensional stationary Schrödinger equation. In this talk we present some recent results on existence and absence of algebraically localized solitons for the Novikov-Veselov equation as well as some results on the large time behavior of the “inverse scattering solutions” for this equation.
Solitons of the sine-Gordon equation coming in clusters.
In the present paper, we construct a particular class of solutions of the sine-Gordon equation, which is the exact analogue of the so-called negatons, a solution class of the Korteweg-de Vries equation discussed by Matveev [17] and Rasinariu et al. [21]. Their characteristic properties are: Each solution consists of a finite number of clusters. Roughly speaking, in such a cluster solitons are grouped around a center, and the distance between two of them grows logarithmically. The clusters themselves...
Solitons on pseudo-Riemannian manifolds: Stability and motion.
Solitons, peakons, and periodic cuspons of a generalized Degasperis-Procesi equation.
Stability of solitary waves for derivative nonlinear Schrödinger equation
The Hirota method and soliton solutions to the multidimensional nonlinear Schrödinger equation.
The theory of differential invariants and KDV hamiltonian evolutions
Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity: some results and open problems
This text is a survey of recent results on traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity. We present the existence, nonexistence and stability results and we describe the main ideas used in proofs.
Variational approach to dynamics of bright solitons in lossy optical fibers.
Weak asymptotic method for the study of propagation and interaction of infinitely narrow -solitons.
Конечнозонные аттракторы и переходные процессы типа ударных волн в интегрируемых системах
О влиянии вязкости на структуру ударных волн в модели МКдФ